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Finding the Fourth Proportional to 6,838.45, 9,439.41 and 4,006.72

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Solution

The fourth proportional to 6,838.45, 9,439.41 and 4,006.72 is: 5,530.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.45 : 9,439.41 = 4,006.72 : x
  2. Step 2: Convert to fraction form
    6,838.45/9,439.41 = 4,006.72/x
  3. Step 3: Cross multiply
    6,838.45x = 9,439.41 × 4,006.72
  4. Step 4: Simplify right side
    6,838.45x = 37,821,072.84
  5. Step 5: Solve for x
    x = 37,821,072.84/6,838.45
  6. Step 6: Final answer
    x = 5,530.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.